If you’re investing in a luxury Dunlopillo mattress to sleep on, then make sure you invest in the best bedding to put on top. Below are tips to help you select the bedding that works best for you and your Dunlopillo mattress. What Fabric Should I Choose? It may not surprise you that the best bedding for sleep depends greatly on you and your specific needs. However, there are a few main factors you should remember when purchasing bedding for your Dunlopillo mattress..